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Finding the Fourth Proportional to 95.62, 131.83 and 82.47

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Solution

The fourth proportional to 95.62, 131.83 and 82.47 is: 113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.62 : 131.83 = 82.47 : x
  2. Step 2: Convert to fraction form
    95.62/131.83 = 82.47/x
  3. Step 3: Cross multiply
    95.62x = 131.83 × 82.47
  4. Step 4: Simplify right side
    95.62x = 10,872.02
  5. Step 5: Solve for x
    x = 10,872.02/95.62
  6. Step 6: Final answer
    x = 113.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.